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413323002421029 = 345102753116309
BaseRepresentation
bin101110111111010100100001…
…0101111001001111100100101
32000012110021220200210201210000
41131332221002233021330211
5413133341002104433104
64023021544354251513
7153026413210661361
oct13576510257117445
92005407820721700
10413323002421029
1110a774334615aa8
123a434925286b99
1314982265760b8c
14740cd237302a1
1532bb72e5b1639
hex177ea42bc9f25

413323002421029 has 10 divisors (see below), whose sum is σ = 617433127073510. Its totient is φ = 275548668280632.

The previous prime is 413323002421009. The next prime is 413323002421051. The reversal of 413323002421029 is 920124200323314.

413323002421029 is a `hidden beast` number, since 4 + 1 + 3 + 3 + 2 + 300 + 242 + 102 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 266493316092129 + 146829686328900 = 16324623^2 + 12117330^2 .

It is not a de Polignac number, because 413323002421029 - 232 = 413318707453733 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 413323002420984 and 413323002421002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413323002421009) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2551376558074 + ... + 2551376558235.

It is an arithmetic number, because the mean of its divisors is an integer number (61743312707351).

Almost surely, 2413323002421029 is an apocalyptic number.

It is an amenable number.

413323002421029 is a deficient number, since it is larger than the sum of its proper divisors (204110124652481).

413323002421029 is an equidigital number, since it uses as much as digits as its factorization.

413323002421029 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5102753116321 (or 5102753116312 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 413323002421029 in words is "four hundred thirteen trillion, three hundred twenty-three billion, two million, four hundred twenty-one thousand, twenty-nine".

Divisors: 1 3 9 27 81 5102753116309 15308259348927 45924778046781 137774334140343 413323002421029